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Finding the Fourth Proportional to 54.36, 80.98 and 53.84

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Solution

The fourth proportional to 54.36, 80.98 and 53.84 is: 80.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.36 : 80.98 = 53.84 : x
  2. Step 2: Convert to fraction form
    54.36/80.98 = 53.84/x
  3. Step 3: Cross multiply
    54.36x = 80.98 × 53.84
  4. Step 4: Simplify right side
    54.36x = 4,359.96
  5. Step 5: Solve for x
    x = 4,359.96/54.36
  6. Step 6: Final answer
    x = 80.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.